- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
An elementary presentation of the equivalence between MV-algebras and l-groups with strong unit
Studia Logica 61 (1):49-64 (1998)
Abstract
Aim of this paper is to provide a self-contained presentation of the natural equivalence between MV-algebras and lattice-ordered abelian groups with strong unit.My notes
Similar books and articles
Boolean Skeletons of MV-algebras and ℓ-groups.Roberto Cignoli - 2011 - Studia Logica 98 (1-2):141-147.
A Note on Bosbach’s Cone Algebras.Wolfgang Rump & Yichuan Yang - 2011 - Studia Logica 98 (3):375-386.
The model theory of finitely generated finite-by-Abelian groups.Francis Oger - 1984 - Journal of Symbolic Logic 49 (4):1115-1124.
A group-theoretical invariant for elementary equivalence and its role in representations of elementary classes.Daniele Mundici - 1981 - Studia Logica 40 (3):253 - 267.
A common abstraction of MV-Algebras and Abelian l-groups.Francesco Paoli - 2000 - Studia Logica 65 (3):355-366.
Perfect MV-Algebras Are Categorically Equivalent to Abelian l-Groups.Antonio Di Nola & Ada Lettieri - 1994 - Studia Logica 53 (3):417-432.
Abelian Logic and the Logics of Pointed Lattice-Ordered Varieties.Francesco Paoli, Matthew Spinks & Robert Veroff - 2008 - Logica Universalis 2 (2):209-233.
On the standard and rational completeness of some axiomatic extensions of the monoidal t-Norm logic.Francesc Esteva, Joan Gispert, Lluís Godo & Franco Montagna - 2002 - Studia Logica 71 (2):199 - 226.
Monadic MV-algebras are Equivalent to Monadic ℓ-groups with Strong Unit.C. Cimadamore & J. P. Díaz Varela - 2011 - Studia Logica 98 (1-2):175-201.
Analytics
Added to PP
2009-01-28
Downloads
40 (#387,619)
6 months
5 (#652,053)
2009-01-28
Downloads
40 (#387,619)
6 months
5 (#652,053)
Historical graph of downloads
Citations of this work
On the Category of EQ-algebras.Narges Akhlaghinia, Mona Aaly Kologani, Rajab Ali Borzooei & Xiao Long Xin - 2021 - Bulletin of the Section of Logic 50 (4):397-419.
On the Category of EQ-algebras.Narges Akhlaghinia, Mona Aaly Kologani, Rajab Ali Borzooei & Xiao Long Xin - 2021 - Bulletin of the Section of Logic 50 (4):397-419.
Varieties of MV-algebras.Giovanni Panti - 1999 - Journal of Applied Non-Classical Logics 9 (1):141-157.
Monadic MV-algebras are Equivalent to Monadic ℓ-groups with Strong Unit.C. Cimadamore & J. Díaz Varela - 2011 - Studia Logica 98 (1-2):175-201.
Monadic MV-algebras are Equivalent to Monadic ℓ-groups with Strong Unit.C. Cimadamore & J. P. Díaz Varela - 2011 - Studia Logica 98 (1-2):175-201.
References found in this work
An elementary proof of Chang's completeness theorem for the infinite-valued calculus of Lukasiewicz.Roberto Cignoli & Daniele Mundici - 1997 - Studia Logica 58 (1):79-97.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7c76586df8-pp8v9 uwo